Note for probability, if it will never happen the P = 0. If it must happen P = 1.
So certain to happen:
C. P=1
9514 1404 393
Answer:
axis of symmetry: x = 2
see below for a graph
Step-by-step explanation:
You can complete the square to put the equation in vertex form.
y = (x^2 -4x +4) -1 -4
y = (x -2)^2 -5 . . . . . . vertex is (2, -5)
The equation of the axis of symmetry is the equation of the vertical line through the vertex:
x = 2 . . . . . axis of symmetry
__
Points on the graph are easily found by using integer values on either side of x=2. Points on one side of the axis of symmetry are mirrored on the other side of it.
Answer:
C
Step-by-step explanation:
9514 1404 393
Answer:
47.71
Step-by-step explanation:
Two "special" triangles are involved.
ΔSWR is a 30°-60°-90° right triangle, so will have sides in the ratio 1 : √3 : 2.
ΔUVW is a 45°-45°-90° right triangle so will have sides in the ratio 1 : 1 : √2.
For ΔSWR, the side SW is given as 6, so the other sides are ...
WR = 6√3
RS = 2(6) = 12
For ΔUVW, the side WU is given as 8, so the other sides are ...
UV = VW = 8/√2 = 4√2
Then the perimeter of the figure is ...
P = RS +ST +TU +UV +VW +WR
P = 12 +8 +6 +4√2 +4√2 +6√3 ≈ 47.71
Assuming 70 m/s is terminal velocity
1 meter = 3.3 ft
so 70 meters = 231
231 ft/s
231 x 5 = 1155ft
hope i helped